Table 1.

Type I error rates for different item-fit statistics (%).

Test length	Sample size	Results of current study			Results of Stone and Zhang
		$S-X^2$	${\chi }_w^2$	${\chi }_w^2$	$S-X^2$	${\chi }^{2\ast }$
		Complete data	Complete data	50% missing
$n=10$	$m=500$	4.8	4.2		4	5
	$m=1000$	4.7	3.8		4	4
	$m=2000$	4.9	3.7		5	3
$n=20$	$m=500$	4.9	4.7		5	5
	$m=1000$	4.9	4.3	4.3	5	3
	$m=2000$	5.0	4.2	4.1	5	3
$n=40$	$m=500$	4.7	5.1		6	6
	$m=1000$	4.8	4.8	4.8	4	4
	$m=2000$	5.0	4.7	4.5	3	4

Note. Stone and Zhang (2003, Table 1).